{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# In-Depth: Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "<!--BOOK_INFORMATION-->\n",
    "\n",
    "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n",
    "\n",
    "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Support vector machines (SVMs) \n",
    "- a particularly powerful and flexible class of supervised algorithms for both classification and regression.\n",
    "\n",
    "In this section, \n",
    "- To develop the intuition behind support vector machines \n",
    "- To learn about their use in classification problems.\n",
    "\n",
    "We begin with the standard imports:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T05:49:15.031820Z",
     "start_time": "2019-06-20T05:49:15.012671Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "\n",
    "# use seaborn plotting defaults\n",
    "import seaborn as sns; sns.set()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Motivating Support Vector Machines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "\n",
    "- **Generative classification**\n",
    "    - [In Depth: Naive Bayes Classification](05.05-Naive-Bayes.ipynb))\n",
    "    - we learned a simple model describing the distribution of each underlying class,  \n",
    "    - used these generative models to probabilistically determine labels for new points.\n",
    "- **Discriminative classification** \n",
    "    - rather than modeling each class, we simply find a line or curve (in two dimensions) or manifold (in multiple dimensions) that divides the classes from each other.\n",
    "\n",
    "As an example of this, consider the simple case of a classification task, in which the two classes of points are well separated:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T05:53:00.489390Z",
     "start_time": "2019-06-20T05:53:00.327426Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_blobs\n",
    "X, y = make_blobs(n_samples=50, centers=2,\n",
    "                  random_state=0, cluster_std=0.60)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "A linear discriminative classifier would attempt to draw a straight line separating the two sets of data, and thereby create a model for classification.\n",
    "- For two dimensional data like that shown here, this is a task we could do by hand.\n",
    "- there is more than one possible dividing line that can perfectly discriminate between the two classes!\n",
    "\n",
    "We can draw them as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:14:13.571859Z",
     "start_time": "2019-06-19T10:14:13.375738Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plt.plot([0.6], [2.1], 'x', color='red', markeredgewidth=2, markersize=10)\n",
    "\n",
    "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
    "    plt.plot(xfit, m * xfit + b, '-k')\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "These are three *very* different separators which, nevertheless, perfectly discriminate between these samples.\n",
    "- Depending on which you choose, a new data point (e.g., the one marked by the \"X\" in this plot) will be assigned a different label!\n",
    "- Evidently our simple intuition of \"drawing a line between classes\" is not enough, and we need to think a bit deeper."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Support Vector Machines: Maximizing the *Margin*\n",
    "\n",
    "The intuition is this: \n",
    "- rather than simply drawing a zero-width line between the classes, we can draw around each line a *margin* of some width, up to the nearest point.\n",
    "\n",
    "Here is an example of how this might look:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:09:29.253158Z",
     "start_time": "2019-06-20T06:09:29.056164Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xfit = np.linspace(-1, 3.5)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "\n",
    "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
    "    yfit = m * xfit + b\n",
    "    plt.plot(xfit, yfit, '-k')\n",
    "    plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none',\n",
    "                     color='#AAAAAA', alpha=0.4)\n",
    "\n",
    "plt.xlim(-1, 3.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "> ## The line that maximizes this margin \n",
    "\n",
    "is the one we will choose as the optimal model.\n",
    "- Support vector machines are an example of such a *maximum margin* estimator."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Fitting a support vector machine\n",
    "\n",
    "We will use Scikit-Learn's support vector classifier to train an SVM model on this data.\n",
    "- For the time being, we will use a linear kernel and \n",
    "- set the ``C`` parameter to a very large number\n",
    "    - we'll discuss the meaning of these in more depth momentarily"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:11:24.287340Z",
     "start_time": "2019-06-20T06:11:24.280757Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=10000000000.0, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape='ovr', degree=3, gamma='auto_deprecated',\n",
       "  kernel='linear', max_iter=-1, probability=False, random_state=None,\n",
       "  shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.svm import SVC # \"Support vector classifier\"\n",
    "model = SVC(kernel='linear', C=1E10)\n",
    "model.fit(X, y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "To better visualize what's happening here, let's create a quick convenience function that will plot SVM decision boundaries for us:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:11:29.296558Z",
     "start_time": "2019-06-20T06:11:29.263432Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "def plot_svc_decision_function(model, ax=None, plot_support=True):\n",
    "    \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    xlim = ax.get_xlim()\n",
    "    ylim = ax.get_ylim()\n",
    "    \n",
    "    # create grid to evaluate model\n",
    "    x = np.linspace(xlim[0], xlim[1], 30)\n",
    "    y = np.linspace(ylim[0], ylim[1], 30)\n",
    "    Y, X = np.meshgrid(y, x)\n",
    "    xy = np.vstack([X.ravel(), Y.ravel()]).T\n",
    "    P = model.decision_function(xy).reshape(X.shape)\n",
    "    \n",
    "    # plot decision boundary and margins\n",
    "    ax.contour(X, Y, P, colors='k',\n",
    "               levels=[-1, 0, 1], alpha=0.5,\n",
    "               linestyles=['--', '-', '--'])\n",
    "    \n",
    "    # plot support vectors\n",
    "    if plot_support:\n",
    "        ax.scatter(model.support_vectors_[:, 0],\n",
    "                   model.support_vectors_[:, 1],\n",
    "                   s=300, linewidth=1,facecolors = 'none', edgecolor=\"black\");\n",
    "    ax.set_xlim(xlim)\n",
    "    ax.set_ylim(ylim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:11:36.064204Z",
     "start_time": "2019-06-20T06:11:35.889921Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(model);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "This is the dividing line that maximizes the margin between the two sets of points.\n",
    "Notice\n",
    "- A few of the training points just touch the margin: \n",
    "    - indicated by the black circles\n",
    "- These points are the pivotal elements of this fit, and are known as the **support vectors**, and give the algorithm its name.\n",
    "\n",
    "In Scikit-Learn, the identity of these points are stored in the ``support_vectors_`` attribute of the classifier:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:12:07.832013Z",
     "start_time": "2019-06-20T06:12:07.827542Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.44359863, 3.11530945],\n",
       "       [2.33812285, 3.43116792],\n",
       "       [2.06156753, 1.96918596]])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.support_vectors_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "A key to this classifier's success is that for the fit, **only the position of the support vectors matter**; \n",
    "- any points further from the margin which are on the correct side do not modify the fit!\n",
    "    - Technically, this is because these points do not contribute to the loss function used to fit the model, \n",
    "        - so their position and number do not matter so long as they do not cross the margin.\n",
    "\n",
    "We can see this, for example, if we plot the model learned from the first 60 points and first 120 points of this dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:14:43.929815Z",
     "start_time": "2019-06-20T06:14:43.914887Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "def plot_svm(N=10, ax=None):\n",
    "    X, y = make_blobs(n_samples=400, centers=2,\n",
    "                      random_state=0, cluster_std=0.60)\n",
    "    X = X[:N]\n",
    "    y = y[:N]\n",
    "    model = SVC(kernel='linear', C=1E10)\n",
    "    model.fit(X, y)\n",
    "    \n",
    "    ax = ax or plt.gca()\n",
    "    ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    ax.set_xlim(-1, 4)\n",
    "    ax.set_ylim(-1, 6)\n",
    "    plot_svc_decision_function(model, ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:14:47.317435Z",
     "start_time": "2019-06-20T06:14:46.947478Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "for axi, N in zip(ax, [60, 120]):\n",
    "    plot_svm(N, axi)\n",
    "    axi.set_title('N = {0}'.format(N))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "In the right panel, we have doubled the number of training points, but the model has not changed: \n",
    "- the three support vectors from the left panel are still the support vectors from the right panel.\n",
    "\n",
    "This insensitivity to the exact behavior of distant points is one of the strengths of the SVM model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "If you are running this notebook live, you can use IPython's interactive widgets to view this feature of the SVM model interactively:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:15:32.535213Z",
     "start_time": "2019-06-20T06:15:32.355222Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact, fixed\n",
    "interact(plot_svm, N=[10, 400], ax=fixed(None));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Beyond linear boundaries: Kernel SVM\n",
    "\n",
    "Where SVM becomes extremely powerful is when it is combined with *kernels*.\n",
    "\n",
    "We have seen a version of kernels before, in the basis function regressions of [In Depth: Linear Regression](05.06-Linear-Regression.ipynb).\n",
    "- There we projected our data into higher-dimensional space defined by polynomials and Gaussian basis functions, \n",
    "- and thereby were able to fit for nonlinear relationships with a linear classifier.\n",
    "\n",
    "To motivate the need for kernels, let's look at some data that is not linearly separable:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:17:18.376944Z",
     "start_time": "2019-06-20T06:17:18.213562Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets.samples_generator import make_circles\n",
    "X, y = make_circles(100, factor=.1, noise=.1)\n",
    "\n",
    "clf = SVC(kernel='linear').fit(X, y)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf, plot_support=False);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "No linear discrimination will *ever* be able to separate this data.\n",
    "\n",
    "- But we can draw a lesson from the basis function regressions in [In Depth: Linear Regression](05.06-Linear-Regression.ipynb), and \n",
    "> - think about how we might project the data into a higher dimension such that a linear separator *would* be sufficient.\n",
    "\n",
    "For example, one simple projection we could use would be to compute a **radial basis function** centered on the middle clump:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:30:12.982285Z",
     "start_time": "2019-06-19T10:30:12.977293Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.72168187, 0.33668063])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(X ** 2)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:30:13.444791Z",
     "start_time": "2019-06-19T10:30:13.440547Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0583625008514144"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(X ** 2)[0].sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:30:13.864630Z",
     "start_time": "2019-06-19T10:30:13.860045Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0583625008514144"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(X ** 2).sum(1)[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:18:58.686385Z",
     "start_time": "2019-06-20T06:18:58.683459Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "r = np.exp(-(X ** 2).sum(1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can visualize this extra data dimension using a three-dimensional plot\n",
    "- if you are running this notebook live, you will be able to use the sliders to rotate the plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:20:38.989110Z",
     "start_time": "2019-06-20T06:20:38.766704Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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G13WKeaL3bqmUW3mf+ISs70vVanGN8WXDihTHcj71SeV3PFbpYCjvb/9GynPJWuWf+7yy225T9qWPluu68h2jZKsn3XWXkhe+ULbZOvbI+a23Kb/lVqnXk3EdBddfK9se99lL7ic/Lnvu/O43KlXZSnFe5957pX5fqlR2X3cc6QUvkPPzv6DccXZeMxsbkozSO58980c8bhnTPPYuIKpUytvzXauK42JL/SIXEAEAAAAAAGA5TkW4OQqsKpWySiVf6+vjZ0gebOmexjTXjDaj9/vDYzejH/eM+F/eKfX7Kv/523dCSFutqf8936v8pps0alhvtRrq9fpKgrKcm25W+Ld3K79lVPloZNNMJo6UfvmXy/noR5Xf8VhlT3mKssc+Vs5DF2UHA/nvepf0iNuUZbmSJJYxRn5YVlgNVfrC5zU4d266ikRjisrK4z4oxyl+pnEfwOj1g7d+2tMUdXoq/cFbpPV1GWuL6tPvfZns9dcff7YxR52tqvZ4eZ4rjnPFcbK9gKiiNM2PXEBECzsAAAAAAMDpcErCTas3v/nN+uIX79d3fdf/MiG8mn3m5m6159GazbrSdLcNfvZn7OE4ip/39UruvFPOvV+QfE/ZTTfv2wTuOI6Gw2hnE3v8lV+p8E//u5xL65LnFtvIrVV6x2OVn1uTSRPleSZjHNmgLN10s8yDD0qeVwSK2wGmtVZxnCqWI+/Bi6pWQ1lrtxfoTLuU6ejkLnvc4+W9+107m8/V70lxItPrKb/tSw614o/OlD35KRr8iyfKXLwoeZ7sNddMeZaTtX8BkTdhAREAAAAAAABOg1MRbr7jHXfpNa95jV7zmp9UPq4ycNs84dJxlZu1WkWO4xxZLTrlU3QwQLXVmrJHP/rQO8OwvK/t3lor54brFd95p5yNtkwUyfq+7LXXylYrcr7wBSVPf4astbI2255LamTLZcnmYz8UMxwortU16PTk+66CoKQwDBRFRcv1vJWP2R2Plfuxj8ncc4+chy5Km5sy/YFkpOyWW4tlRkEw/mLPk33Yw8a/tmLGHC5IjeNUcZzKdR0FQUmNRqAkSberOZnPCQAAAAAAcBqsfFt6v9/Tq1/94/qhH/ohPetZz5n43nm2pU+q3CyXi9Bvc3P/ZvSZN7J3e/L/5r0q/fVfbc+THK9U8hWG5Z0A11pbdHIbV+mdz5GMUX79dcpvu1U2LMt54AHZWl3ZYx6z+yxrlee5bK2q7JabpQcf3P+QOJbSTPkjHylJSpJM3e5AW1sDOY5Ro1FVpVKW687xqw9Dxd/8IslamY1NKSgru+MOJV//jXIfuij/HXfNfs8ZLWez+dFzXEcLiDqdnrIsV7UayvPcse8FAAAAAADAydqp3Lz77rv1kz/5k6pUKur1evq93/u9EzlAGFb0i7/4y3rmM596KGRchKMqNz3PU6NR0/p6+9DymFkqG4M/epvcX/6/VI2jInyVNPi2b1f/u79n34NHC4Q6na4ajWJhkeMULeqSUX7rrYpf8EL57/0rOV/4gmQcZY95tNKnPHVnydDBM9qveqacv36P7D2fkRxXxlrJcZU+69myrbV978/zXP1+JGOiYkv7dsv6cBgrSaZtWZec9UuyrTUl//ML9t+/Xpf57OdkHnpI9sKFqe83OyPp5CsnR+39URSPHTsKAAAAAACAk7evLf3Tn/607rrrLt14443b34mWfgBjjG6//Y7R3ya+d1GVm47jaG2t2Iw+bmHMtPz3/a1q//Vn9P+zd+dxktX1vf9f37OvVdXTs7AjCEJwQREB44pLDBqjiEa9MWoQlx8q2VQ00bgv13ijxit63RKN21WjJkYh3Ihj3KKCYO5FEVBZlGVmurv2s9RZfn+cruru6a2qpxua5PN8PHgw3XXqnG/VzF+fx+fzeTM9TRn41ZR4luF+8pMUUzuIn/Z0oPqMjUaNbrfPYDAMLBp+FjX6TMUxx5AccwzEMej6kj2dB9M0RbBrJ52zH0t+n1/Pd1LalEceCa636jdZlozG003TwLZNPK8aWR9nL6c6cGDVcykFamY/pWWC7aw+or7NbETx64MAACAASURBVE03qBBCCCGEEEIIIYTYakuKm4cffviiwubaLr/8Mj7xiY+SZRnPeMazOe+831vy+i233MQ73/k2Op0O09PTvOENb6NWq616v6rDcr3i5uakpTcaIf1+TJKka55lvQ5O9+8/QWlaVREvy4ESDIOiVsP91CeJn3Iu6Dr1esBgkBFF8egzalr1jBU/8wrBPAcLw4A4jhnkBRx2ePXfPFUWVAXdVe4/bzDIGAwyNE3DcUzC0EOpqst0tZT10nFQRbF8iLsoULfcgvmVr1CGYTVif/LJlI9/3Lqf5eD7UJZVcfcus/pYuhBCCCGEEEIIIYTYvpYUNz3PG+tN+/fv48MfvoSPfvTvMU2Ll7zkfE477XSOO+54oOqwvPjiP+WP/ugVnHXWb/KBD7yPT37y77jwwovWuGs5RuFy/eTz9dTrIXmej5LRV3/O+owbfkYZBMsvd1y0mQOodhvvqCPQNI1mswosqvZsKkzTWrWAuB7fdymKgihaubO2Ch+qvitNA9DWLHIOR9Y1LSUMvTVH1oujjwHKarenZY1+r/3fH6Pd9msGD3wgOC7kOdrPfgZJDI95/JJipdq3D/2qH6Ldfjvl1BT5g0+ndFzMr34F4/v/DkVJ/oAHMPjdp1Acc+yS529Fl6V0bgohhBBCCCGEEELcM20oLf3KK3/AaaedTq1WB+Dssx/L3r1fHxU3f/az63Bdl7PO+k0AnvvcP6TT6a55z6q4tBWdmwuj7L7vouvjJaOvWfDKc8yrrkQ1m2h33AlHHAFhuPB6loGmYU018DyHmZnm6CyaBp1OjzAMgJIoSlbtIF2JbVuYpkmrNc5+0nJ+P2S+qEt09W7O4edtt3vLRtZHKethyODRZ2NecQWlYVRdpnNz6DfeSPaoR1eFTaiKmYcfDr/+Fer22yiPOhoA7WfXYX3uf1MaBmUQoB3Yj/Hv/4669VYIA4o9h4Guo/3sZzhvfyvxxa+huNdxY38/QgghhBBCCCGEEOK/jg0VNw8c2M/09EJozPT0Tn7yk2tHP//617eyY8c0b3/7m7jhhp9x7LHH8Sd/8so171kVIdd78sY7N23bWlJoXO8sq44qRxG1P794lIyu9fowO4MRhAx+45SqMNecJT3nSdR2TdNstkeBRcMAoSRJSdNq56XrOvi+SxwnRFGy5ii8ruv4vkur1Zm403DYzTkscI47sq7rGrZtUqv5DAYZSZKS3+ck0l270G64AdVqQqNBVuSUO3ctv5Flod12O/lRR0OSYH35ixTT0+BWRdAyCNC++12MK68ETUMVOYUfUBx9NOWuXVhf+DzxK1616IZbMUIuY+lCCCGEEEIIIYQQ90Ta8A9nnnkm//zP/zzWm4qiWFIYG45aD+V5ztVXX8W55z6dj33sUxxxxJG8733vXve+W7Nzs5xPKg+Ym2svS0aflPupv8fe+w0AisMOp6xVHZuq1UT/6bVoB/aT3+s47Fe/im63t2ise3mA0GCQ0W53abU6KKWYmqoRBB76CvsmlVLUaj7dbn/D4+xQfR9FUVAUBWVZrLtXNM+rkfV2u0ueFwSBSxi6GLt3k59xJtnjn0Bx6qlVgNDKNwCrCiDSbr4ZkmRU2ATQr7ka4wc/gCxDpQmlUmjdDvqNN6D94ucY//p/IFpYISBj6UIIIYQQQgghhBBiSFv/kuV2797DzMyB0c+zszPsXNS1t2PHNEcddQwnn3wKAI973BP46U+vXXafxcZJQt9IWrpSCsexJ0pGX7WIWhS4X/g8paZTui5oinz3HsojjqAMQ7QkpfvHfwqf/jSp5492Yg7H0VcLEMrzgl4vYm6uTZ7n1GoB9XqAZS2kkoehT5oOSNPBsvdvzLDImVMUOWVZsFb3YpWyntJq9YjjAbZtUq/7OI5FedjhVYJ6Eh/8wSDPKY45pvo5G7Ck83aQYX5zL+hVx2ap66DrlKYJgwHkBdodd6DuvHOTPrMQQgghhBBCCCGE+M9kQ8XN008/g6uu+iFzc3PEcczevVdw5pkPHb1+//s/gGZzjhtuuB6A73zn3zjppJM358QTjqU7jk2W5RPttVx1/H0wQGvOLQnSQQGeR7FnD6XrYJ96fzTXpd3uVXcqy/ksHQ2l1v66y7LawTk31yKKElzXYWqqRq0WoJRaJwRp44bdnJqmKIpy3W7OwSCj243odiM0TVHbOYXxxN9Gn51BHTgAcYxqzqH9+teUZ5xJuWO6es6u3VWVdP7+2p13VCnzpgVFyXz6UUVpaLMzFI06+s03bcnnHj1KqXU/88K1W3oUIYQQQgghhBBCCDGBDe3c3LVrNy984YVcdNGLGQwynvzkp3DKKffjFa+4iAsueAknn3wKb3vbu3jnO99CFMXs3r2b173uTWvec5ydm+Pt5VxQrweUZbEs8Xs9q3ZuWhbF1A60ffvAtpa8pNKUMqxh+x6zN9+K0jQKzx+llWvaZHXkYZem49ij9HLfd4mihKLY+Fj6ajRNEQQe7XZvVOhcby/ncGRdqRT7uOOxn/dciquvIfvVrxns2kX+mMdinXwf6PQBKHftIn/AA9B//GOKo46anwcvKA0dNAVFsVDgLHLArNLSl3zeu3c/5qLarBBCCCGEEEIIIYS4m6lyjZa1/fs7d9lBwtAmzzM684WwlQSBB0C3u/o1Q77v4jg2/X6MaeqjTspxTE83aLU6K46xu5/8BME73kYxtQP0qhCnA7RacL/70TvnSRRxDGVJccQR5A9/OGVjauJxeqjChxqNkHa7S1EUOI4934maEUXJxEXbtdTrIWmajkbph6pRem305/UMU9Z1XZsPTTKXfvdpinHF1zGu/CHkOdbnPktpWmi9HpQFxAkUOSrLKHwfTIvBU59G8vKXUxx9DEHgEsfp2CsGxhGGHv1+PPYu0zzf+gLnrl3h1j5ACCGEEEIIIYQQ4j+BbVbczOl0Vi9C+r6LUmrd4qZtW9RqPjMzLWzbnC+wdcc+y/R0nVarR5atUDwsCsKLX4lz2aWUugaahlaWcPTRpA99GNHJvwG2DWWB1mqilEb6tPPA98d+/lCjERLHKXG8tOBo2xauWwX4RFE84cj9cr7vouvamgXghX2ha3dzDum6huNYmKZBmg5IksHS4mG/j+p00L/zbdz/8VeobgcVxZSUaM0mpWFQTk9T7txJGYTgOPTe/V78k++z6cXNWs2j243H7oiV4qYQQgghhBBCCCHE9rChsfStMN5YOktS2VdiGPqiZPRigwnrB72n38f80VWY//Ef4DpEz3s+8bnnYX/1n9C6PexHP5Ki2SRqTINtVwU6XcGOabQ770C//nryBz1oojMEgUeW5csKm1AF+yRJimkauG41th7HCXGcTJwGb1kmlmXSbK5dyC7LclGg03gj61GUousaRVESBC55XpAkg6rj1PMoPY/saefRP+JI7A99EOPKH6DNzFA6DuXOXRRHHE6557BqVP3OO7E++xl4w+sn+nzjuXtH3YUQQgghhBBCCCHExmyb4iaMM/a8dgFK0xSNRo12u7doZHuVcKBxzzQ3R/DX70Lbv4/C91F5jvm975I+5Ey6b3wLQaMGccTgY3+7UNic37OplKIIa2g33zRRcdNxbAxDX7fgOBhkDAbZfJekTaNRI00HxHEyVmejpmnzeza7YwfqDIucMP7IetV9WhVjHcfCdW2SZECappQl5GedRf+ssyBJCM79Xcpdu6r09cX3nJ7G/Na/VWs6N7kOuRX3FEIIIYQQQgghhBBbb9sUN8fpylzoHFxZo1EbdTAuvu/knZsLz3E//79Rs7PkRx9dvTZ/U+uH30ed9iDc3/4t0n4PKKvCpgLQ0Obfr/Kc0rbHfrZh6Hies25hc7E8L+j1Ivr9GMexCEOfoiiJopg0Haz6vlrNp9+PlxRC1dwcGDplWFv3uVWhM1+1m/PgouHiYmy1OiBgMBgQx4NqJFypqkvTqP5ZqjvuQLvjdshziqlpcGyky1IIIYQQQgghhBBCDE0W4b2Fxh1LX+2aWi2gKIpV9nFurHNT9bqY11xNcdieg15QMLWD4LvfZm6uTRmElIcdht6cQylt4WlliWq3yE86ebznKUUYBnQ6/Q0lopdlSRQlzM21iaIY13WYmqrhuvayorDvV2Piw0Kw+c29NB79SKYe9AB23O8Uak/5HfT/+I+xn1utABj+t3bxsUpZj+eT2UvC0CUIXEzfI3/wg1F33IH+3e+gX/lD1K9+hbr9dvT/+2O0226D//f/Jv5e1qOUGrtzVQghhBBCCCGEEEJsH9umuFkZZyx9+TWe52CaBq3W8m7HcYqmK55EAVFcPU9b+jUpFHY9ZLBv/6jrMX/EI1BFiXbHHagoQrXbaL+6lfzeJ1Ace+xYz6zVfJIkYTBYvdtyXGk6oNXq0On00HWdqakavu+iadpoz2a3WwUImd/cS3j+89F+fiMApVIYV11F/bxz0a/76djPHBY5q//ydQuGZVkSxymtVo8kGVQBRC97GfqvbkWbmQHDBMuqvn/LrkKI3vY2iKKNfzFCCCGEEEIIIYQQ4j+NbVPcXG/kvLpmeeemZZn4vlt1UG5S811VlFOUjQal5y4rptmORT4zS3z8CQtn3zlNet7TyB70IDB0inqd9PFPYHD2Y0DX132m77uUJfT78eZ8iHlZltPt9mk225RlSaMREobVOHpZAmWJ/7rXQppW4+BKVf+ZJsQR3rv+agNPrfZyOo7FYJCN1c05GGR0On36hgmuC56HKgvIc0rfpzj8cHAc1A3Xo667bkPfhRBCCCGEEEIIIYT4z2Xb7NyEcXZjLu3cNAydRiMcJaOv+I4xiqarMgziJ/4O7mc+TX7kEWCaWKYJnQ5ZFJE87vGUZUmWDQjDANO0iBpTpA8+faLHjJtYfiiKoqTfj7EskyzLcV0H13WIfvVrtFtuXrkAq2mYe7+xoefZtoWu63Q6bYCxU9aLfQcoNB0aDZTnze8urZZ3lmWJ6nRQ/d6GzrRZZIJdCCGEEEIIIYQQYnvYNsXNqmA0fuemUislo2/eWYbPSR99NsQxzqVfQ6fEMHRiy6H/0peTH3UUmgZJMiDL2jiOTb0ekmU5URSPdS5drxLLW63xE8s3Kgi8UScngGkauL5bfevzRcTy4LCeMbpOD6brGr7vLlkTsJCyrpakyR+s3LWT0rLQet0qSX1+rYDSFCrPYMcOyj17lr1PCCGEEEIIIYQQQvzXs42Km+MECi10YU5NLU9GX+89E5yGUaFV00if+CSKxz6WHZ0mzV5MeuRRYBhoqkTTNEDNh/nERFGMbVv4vgdAFMUkSbriU5SCMAzo9SLyPF/xms1i2xaGYdBstke/GwwyBsqgfv8HYFxzNZgmav5zl2UJZUnypN+Z+Flh6M9/ppW6aUuqJtsqZX3Y0Tn8Oyp3TJP91hOwPv0piCNw3KowmgxQUYT2iEfgn/oA0kFGkgw2FLwkhBBCCCGEEEIIIf5z2DY7N4Gxi5BVMnq5SjL6Zp1l8Z8VjSMPp33UMaTH3qvaTUm5rDA3lCQpzWabXq+PbVvs2FHHdZ1l1wWBz2CQrVr83CzDTspOp7vi6923vI3ScSgHAygKKApUUUC9TvRnr5joWcMU9nE+02op6/HL/4jBYx4DeY52YD9q5gCq3WLw+CdQvuENdLoRZbkoZd2cvLt0SJLShRBCCCGEEEIIIe65tlHnJqw/ll6i69U48+xsa8z7Tt65eXCtq9EI57tE00XnYFHn4coGg4zBoIuua7iuw9RUjSQZEMfV7ktN0+h0tm7PJhzcHbpyl2N+6qm0/vGf8d71Tsxv7gXdIPvdJ6Ne9zrq9zqOOI6J43TdIuDC7tD2mtcdbOnIuoIgIHrv/0T76U8xfvh9yAuyhz2M4qSTseo+ZbtPHKfEcYplGTiOjesqkiQlSQ49aV4IIYQQQgghhBBC3DNso+Lm+mPppmmgaRqzs3MTddtNnie0MJYehj7AqEt0WNisdkaO1/ia5wXdbh+l1Ggvp1KKTmfrg3GCwCfL1u8OzU85hc7H/m7Z7/V2F9e15wuzKXGcrFgk1bRqd2i73T2EwJ2SoqjerHU7aNdfh5qdpTjyKMqdu+avUbBoL2iaZqRphq5rOI6F49ik6WDskXWlJCBICCGEEEIIIYQQ4p5q2xQ310vR1nWdMPTJ82LVDsSVbKRwNQwUchwb27aYmWnO/74cheFUuzYnvW9JkiS4rk0UxXiei+c5RFGyJaPpjmOh69ohpbDneT4qzLru6oFJYegTRTFZdui7Q/VrryW4+JXQ74OmoCixP/RB4je+GfWk317x7zTPC3q9GKUUtm0ShtV4fBynm3ImIYQQQgghhBBCCLH9bJvi5lrj40oppqZqdLt9fN+d9M6TBwrNzKDlBcExRzI716bMMvTbfl0V2o4+eiOtoCNhGMwHDyX0+3GVWO46eJ47CkjajB2Quq7jee4hFTYXK8uSfj+m3x8GJrmAIopidF2bD1RaO9xpLEmC/xevgaKg3LVr4fdRhPOG18FZDwHdXvOci0fWXddGqdVH1qt/G9K6KYQQQgghhBBCCHFPtI2Km6u/1miEo5HoYQr5Ztz3YPpNv8T50hcx9+3DMHWSoIZxzDEEl16Kas6igGL3HuKXvozs9IdMdA4A3/coimJJEXCtvZyTdKguppSiVvPpdvtbkiZeFQrTUWHWNA2iKEbT1GisfKPMH/4A1elQ7ty59AXXRev3yC69jOKJv7NqmNNiCyPrOo5jLhpZT5ecU8bShRBCCCGEEEIIIe6ZtlFaelVhOrhYNdx52en0RuPik953nM5N7bbb8D5wCardRr/3cRRHHQ233kL4ljej5mYpd++m3LUbrdPBf/1fov/kJxOdwrYtTNOg2115z+ZwL+fcXJuyLKjXQ2o1H9OcvP4cBB5pOiBNtzZcJ8tydF2n06nG1huNGmHoYxiHkF4+M1Mlth/8e02haRrpTTetmrK+mjzP6fVi2u3efMq6RxC4h3ROIYQQQgghhBBCCHH32zbFzWF9anEd0nUdbNscjVZvRvL5aqwr/hV0HWvPbqAqNurXXUdhW2jtFqBAKcowpDR0nE9+Yuwz6LqO77t0OuuH7QzHv2dnWyTJAN/3aDRCbNsa61mOY6NpGr1eNPb5NioMfZIkIU1Ter2IubkWg0FGGPrU6yGWZU58z+KII0A/6J+lAkPXq32r9zpu9OtJi5zDkfVWq0eaDnBdmyBwD2XLgBBCCCGEEEIIIYS4G22bsfSFvYfVDkTLMgkCj9nZ5iHvoBynIGr+9Cdoe/agGzrZIIMsQ5udoQxCVBSh8pz5mHTKxhTGNVczTivp4hHxScfMDx7/Xm8vp2HoeJ6zaXs21zLcZdnvx6PflSWj81mWieva+L5HHMfEcTrW32N22oMpDjsc7c47KXfsAKrCZjE3RxH4pI981LL3lGU5urdSapRiP87Ium2bOI5FvR6sOLIuhBBCCCGEEEIIIbavbVTcXChE6bpGvR7SanU2vHdysXGKaspxsXVFFCXVuLKmgaahyvnnLy6UZRml4441I191Nx7aiPhoLyfgf+87uFf/iCys0fut3ybfs2f+eIow3Lo9m4sZho7rrl1EHY7F67qO69rj7xLVdXr//Z34r74Y7fbb0MoSpevV5337O8D31zxbVejMRzs519vLWRQFWVbMByWZhKFHlhUkiaSsCyGEEEIIIYQQQmx326a4Oaw/apqi0QjpdvurFgSVmiwEZthgudp7NE1hP+HxpF/4B4ojj6IsdZSmkx93PPp1P6U8/Iiq2Dl8/uws6bnnrvtcz3MA6PcPfURc7dtH+Myno912G0QRpmXRePObyN74Rnp/8Hw8zznkIupY51BMVETN85xut9rJ6bo29XpIluVEUcxgkK34nuLIo+h8/O+x/uPHBM1Zup5P8qAHgzn+mPuwm3P9ImfVKbw0Zd2c70yFJBmsmLIuhBBCCCGEEEIIIe5+26a4CSWDwYA8r4pJURSvfFVZMixITXLvtd7TaNSIznwo5be/i37LrbB7J5ppkB12GPqvbgVNQa+HKktUp0N+5JEkv/es0fuNH12F89GPYFx7LUWjQfLMZ1E++9nYtk2z2Z7gnKsLL3wJ2k03g6GD41SfpCjQX/96wtMfgnbWmSRJuinPWovv+/Mj3ZMV/Ia7RKsOSQvfdwFFHMckN9+KceMNFEFIfv/7j7pmvUc/kn6ckMQb/1wLI+sKpRhzZL0qEhuGPj+2vpCynucysi6EEEIIIYQQQgixXahyjZnt/fu3fnfjUJ7n/OVfvgrTNHnd69646nW7du1gZmZuor2Ia70nDH10Xa+KkP0+5lVX4vzoShzTgDPOoH/cveGKKzD3fgN0jfQxj2Pw279NGYQAmJddSvCXr6VUitLzYTBAiyO0RzyC1rvfS8ahp9VoN91E4/GPqX44uCiXpqhzz6Xz/g/gODa6rk+043IStm3Nj6NvTsHWzDP8t7wZ/dKvUWoaZVFQ7Jim+453Yp91Jrqu0emsnC5/KKq9nFU3p22bGIaxZHfowTStus6yTHq9mDje+nH1XbvCLX+GEEIIIYQQQgghxD3dtuncvOSSv+Gaa67hwx/+6DpXbl7npuva2LbJzEyrusp1yR75CHqPehSRps0H+dgYv3ES0fnnLw/yiWP8t72FwnHBtqvfGQaa71N+5zuovXvh0WejOm3Mb3wD1WqS3+cksoecsWTMfT36rbdUI9nZ8jFupWnkP71ulR2XKVGUbMoOTl3X8H2XVmvzCt7m61+PuvSr5PU6mm6gaQrVnKP20v8P/tcH6aDBcceD627aM2HpyHq1rmDtf0tFURJFKVGUTrQOQQghhBBCCCGEEEJsrW1R3EzTlH/913/hPe95D0cffcyaI89jBJSP9R7TNAgCn9nZ1qi4VU1DawzDjaognwxd13BdZ1nB0LjmGhgMIFjostM1jRIoUFhf/SpkGcGrXgl5lcCOYZLf6150PvIxyl27xjp/fvQx1XNgyQdRSkFRkB1//MK18zsuNU3hODaNRshgkBFFCdkKxdFxhaFPrxdtSsATVDtE7X+5lLJWB6VVBdgCNKXQbvolPOMZhDt3Umga8fPPJ/mD505UEB7rDAocx6bV6lEUOUppa46rCyGEEEIIIYQQQojtZXOrRRtkWRZf/vKlnHXWWeteuxASM6mF9wxDi9rtLnmeH3Tf5cEzeV7Q7faZm2tTliWNRkjoORhZCiWoqI/q96pkbwV5UYCmoR3YT/CKP62qq45bFUFtG/3nNxJe9LKxT17c615kDzh1SefmsLBZmibxCy5Y/p6i2nE5O9tiMBgQhh71eohljR/KM+T7LnlebOpOT/3GGykNY2nBMk1Qt9xSfa4sQ01NYbge/v/6APZnPr1pzx4KAp8oSsjzjLIsKYqcosgpy2LVbk7p3BRCCCGEEEIIIYTYPg6puHn55ZfxnOc8g2c961z+4R8+t+p13/3ut3nGM353zXsppeY7LDe/c66cLzoONRo1+v14VKwryxJdX7yLcfX7JD+4kvT3fx/jgQ/Ev+jl6L/8Bfovfol+yy1oP7uO4s47gRKKnLIoqoKkZS3+oOD56Ndei37D9WN/hs4lH6Q49lhQGsQx5Dkl0Hv1n5M9+PQ13xvHKXNzbaIoxnFspqbq82ng63/XllXtmux2+2OfdRxlrQZ5saRaqM3Nzf+sKA2DPMvJdB3qdYJP/B2+oaPrm1OPd5zq8x8cXFUVOYv5AufqRU4hhBBCCCGEEEIIcffb8Fj6/v37+PCHL+GjH/17TNPiJS85n9NOO53jjjt+yXWzszO8//3vGbNIVK47cr7xzs1KreZTFAW9XjS6n64DaKMk7dXoP76m6rgsoXBdtFtuqYqV2QB0G5RCu/NOVBSTn3ACKs9B05ffSCnQdbSbbiY/8T5jnbvcs4fm1/di/9te/Gv/H7HnE53zRIrDjxj7s0+6l1PTFEHg0W53N73Il59yCsWePej79lEGAShQvR4oRUlJOb2zurAsyXUD1WtR3nwz9fvflyzLiaKYwWBjY/aapuF5zpr7QxenrFfNpRqaJiPrQgghhBBCCCGEENvJhtvgrrzyB5x22unUanVc1+Xssx/L3r1fX3bdO97xFv7wD1841j3H7dyctLg5LIi6roNpmrRa3dHvFwpX638V3rv/GpRG2Wig3XknqCqECF2vOjRHyz1LOh/+CPkJJ1S7Nlf6oEVBcfjhE30OdB3nqU8heuXF9M6/YKLCJgB5XhUL5/dyNpuLxuxDH8NYWogNw4AoismyLUgH1zR673gnpWWhWi30fh+KoupInZ6mDBelhZcl5AWxrjM72yJJUnzfpdGo4Tj2xI8OQ59+Px5zf2hJUVQj645jEQSTP08IIYQQQgghhBBCbI0NFzcPHNjP9LC7Dpie3sm+ffuWXPP5z3+Wk046mfve9/5j3XPYKbf+NZMzDJ0g8EYFPVgIEBqroDo3h37DDaOim+p2KHW9eq9tU1oW2Yknkp9yX9i5k0YtQHv+H4JuLE857/cpjj6a/L73negzeJ5LWbJslHo95r99k/o5v8X0ccew4973InjZS9Fuv+2gvZwZYeiP9nJ6nkNZlkRRMtGzJpHf9760/uFLZBdeSHHqqaRnnEm+azfFkUctDU5qt8hPOonisKoYnCQpzWaHbrePaRrs2FHH89yxOitd16YsS+J4ss9lmga2bdHvrx52JYQQQgghhBBCCCHuWhsubhZFsaQoWHVBLvz8i1/cyDe/eQXPe94LJrrv+mPpG+vcDEOfVqsz6tZbK0BoLIaBmi+SjgqulkWpoMhymllJccpvoN7yZrQ8g14X1WlDFFFOT9P5n5dMFPtuWSa2bdHp9CY6pnXZpYTnPx/9Jz+hNKswIesr/0T9ieeg9u8fXRfHyWgvp+c5uK7DYDCYOJl+UvoRh2O+4s9o/a8P0/nUZ8ge/nDU3Byq04F+HzU7k8p5CwAAIABJREFUQ+m49P7idcvem2UZnU6PZrODUtUu1ZU6UEfPmk+9n3R/qFLD8KGULNuctHghhBBCCCGEEEIIceg2vHNz9+49/PjHV49+np2dYefOXaOfv/GNr3PgwAEuuOC5ZNmAAwf2c+GFF3DJJR9Z9Z7j7dOcvHPTNA3iOCVNB6PnjBMgtOSpU1PkJ56IftNNlLUa5a5dqF/9qmr/LArKqSkAVKtFdsaZFPU6/X5M/3fPxX3ow3Av/Srlvn0kp9yX/tmPBdcd+/yapm1s92VR4L/2z6vO0fnCJkqBpqGaczgf+RDRa/5iyVsGgwylNHq9PoZhMDVVX3Mv56FQqhoR73b7FEUJlkX33e/F+j+XY/3jP6J6XQYPezjJeU+n3LNnjY9Z7VDt9yNs2yYMfYqi6s5cnPAehj69XjTx5/B9j7Is6fUS1ussFkIIIYQQQgghhBB3HVWuUS3bv3/1wJX9+/dx4YUX8KEPfRzXdXnJS87nVa/6c0455X7Lrr399tt4+ctfzBe+8JU1D1OrOaRpOgr7WUm9HpIk6dhjxbVagG1btNtdkiRdEiA0zp7NxRYHCulTDcqf/QzVboOukx95JJQl5dQUnY/+bTVaPZTn2J/8e7y/+1i1q/PII0le9GK65z0DxjhDvR6SpunEI+L6DddTf9I51a7Ng4u4eU5x2OE0v/f9Jb+u1QKyLKffr/4ONE3hOA6OYzEYZJu6gzMIPIBNT2KHqtPVcWx0XSeOE5RSGIZGuz1h56tlEIYBzWb/Lu3a3LUrXP8iIYQQQgghhBBCiP/iNty5uWvXbl74wgu56KIXMxhkPPnJT+GUU+7HK15xERdc8BJOPvmUDdx1vM7NcUelPc/BNA0Gg4WOzUkChA6Wn/pAOu//ILWPfojyBz+g2LmT/IwzKTWF0nTSRz2a9ClPpWw0Fh23xH/VK7D+5TIwTAo/gP37sd78JqZvuJ7oLW8lipJVOzJ936Uoiq3ZfXnQMx3HRik1KmwC83s5q65Ix1noioyieNQJuxGWZWKaBs1me8P3WMviZHjPc7AskyRJ0XVtzCChqh7s+zKOLoQQQgghhBBCCLFdbbhzcyuEoU2eZ3Q6q3fy1WrBqINwLaZp0GjUmJ1tEgQ+SZKQJMl8UXODezYB160KZa3Z5mjEey36tddSe/bvge0s7Z4sClSakF7+r1innEySDIjjpQnelmXi+y7NZmdjQUpFwdRDTkPNzIBxUB07z4le+CKiP38tUAUu1WoBzWZn3bFtyzJxXRtN04ii6nud5Hiapmg0arTb3a1JYj9Io1EjimI0TcN1bbIsJ4piBoMVkuwXCQIPwzCYm+txV4+jS+emEEIIIYQQQgghxPo2HCi0VdYrOlZ7Ode+h6ZpNBq1RQFC5fy94VAKm6Zp4Dg2nU4XdH2skXLzG1fAYLB8LFzTKLOM7LLLmJtrU5YF9Xo4CsQZ7tnsdHobTohH0+i9+a1VYXMwqDo1iwKyjLLeIL7gRcDBuy/X71BM0wGtVpdOp4dpVns5fd8duxu2CudJ7pLCpu+75Hk+vze0SoZPkhTfd5maquE49orvsyxjPsApQvZsCiGEEEIIIYQQQmxP26q4OX4Rb+1i09RUSK8XLQkQ0jSFUtqGC5uaphGGPp1Orwq/GfekRbH2eYuCsizp96vC22AwIAx9pqZqJEl6yAXA9IlPovORj5GfdBJqvsCZnvNEWl/9GuXu3UAVmJOm2cRj5lmWz6eVtylLaDTCNdPKYWH0fb3O281gmgaWZS3b6ZkkKc1mh06nj2ka7NhRx/MWirML6egJWbbBwrIQQgghhBBCCCGE2HLbaiw9CCygpNXqrnHNMLl65dChej0AFK1WdfayLPF9hyDwieNkYb9lnmP84PtYl1+O6nbI7v8A0t96AuVhh61y38mCjIaMa64mfO5zlo+llyUkMe0vfJH8PicteY/vexhGNT6vaYooSiZ+7ooGg2Udp7Zt4brOpuy+VAps28Z17RX3cuq6Tr0+3uj7Zpyl0ajR7fbXHT8fjqvbtsUHPvBBdu/ezZOe9CR6vQF3V9emjKULIYQQQgghhBBCrG+bdW6OO5a+8jWe52AYBu32QmFT0yCOq049pRRTUzV8x8Z739/g/fW70G/6Jardwrr0awSv/DP0G65fdt8g8CiKYkMFxuzUBzL4zYdBv18VF6H6f9QnfdzjlxU2bdvCNA3a7S6tVmc0+l11Fzob7jwFwDSXFDZ1XcP33WrMfhOUJcRxwtxcmyiKcV1nNPo9HH3v9aItL2xCVSAeDLJ1C5sARVHQ60XMzbXI85y3v/1tPPaxj+XLX/7ilp9TCCGEEEIIIYQQQmzcturc9DwTw9CYm1u9i9D3XZRSy0aNLcukXg+ZnW2OQnmUKpcFCCml8P/jGqy3v43yqKPIioJyfsxcNZsUtRq9d7931GU57GxstdoTheYskaY4H7gE95OfQPX7FGFI/LznE7/wxUuCfnRdo14PabW65PnScfSqu9DBtk3SdEAUxWOnfq+m0QjnA4HSQ7rPWgxDH4Uw5XlBu92ZaKx/IxaCmCb7O1MKpqbq7N8/yxe+8EW63Q7nn/+irTvoGqRzUwghhBBCCCGEEGJ997jipuc56LpOp9Mb/U7XNXbsaNBqdZbs2dR1UEpf1u3ovvMdGNdei7Z7N7qhUxYleZ5T5Dna7bfT/e9/RXHssaME8YVgokOU5xBF4HkrhhENU73XKjYqpXCcavS7So1PyLL1uxMPNgwAWvw9bhXTNAgCnzRNsW1rlHa/FYFCSlVJ7J1Ob+LvJQiqfaF3Rzr6waS4KYQQQgghhBBCCLE+Y/1L7jprjZyvpdGo0ev1VyhsrhwgpHo9ME3yPCfPczRdq0JwDJ3cNFBJjFJqlCC+KYVNqPZdBsGKLwWBR5Zl63ZRlmW1yzKKYhzHIgy9FfdbrsWyTCzLpNnc+uK1Uoog8Ol2ewwGGf1+hG3bhKFPURREUTJxkNFagsAjTdOJC5tVOrpJs3n3FzaFEEIIIYQQQgghxHi2WXFzaebOytcsLYDW6wFZltHvx6PXdR1AQ6mVV4pmpz4Q47rrKGs1AIq8IM0LtDzHMAxq978vpeuRJINNLbytxrYtDMOYONQnjlPiOMWyTFzXwffddcOHNE0RBB7tdneCdPrJqZkZzG9/C7fbobjxRrzvf5/S80ie/gzip55LHDsTnXsclmUu6+od66zz6ej9vqSjCyGEEEIIIYQQQtyTbKviZmW9QKGFAqjnuRiGwcxMc/61cn7aW5vftbmywdmPwfrqV1H791Pu3FndME3hjjvoPvNZWKaFpSkcp0pvHyWsbwFd1/F9d5TuvhFpWhVhh/stPc9Zmgy/SBj6WzYSDkBZ4vzP9+F98BIoCtTcHBQFpe9TBiHeW96E/Q9foP2JT5LOn33puVPiOJ54L+fiou2kgsCnKEr6/RTp2hRCCCGEEEIIIYS459hmaenjjKWXgBqFxizez6lpVfDOuonrU1P03/gm8mPvhbrtNtTtt6PabeL/9vvw7GdjmgZzc+35hHWtSlif31G5mZSCWs2n19uc0fcsy+l0ekuS4YPAQ9erc3ueQ1lCFB1ah+RarH/+Ct4HLqE0DFS3W1WjNQ3V76PSFBwX/SfXYv/vz65y7mrNQHVufeznBoFPHCcTF22HI/rtdoQUNoUQQgghhBBCCCHuWbZVoJBt6/i+zf79c2tcY+F5NoZhjh0gtKqyRO3bh4oiisMOQ/M8Go2Qdru7pEimlMJ1bRzHnt8bGS9LM9+Iau9kSa/XX//iDVgcPpTnObquMzfX3tJx9Po5T0C75WY004Tbb68quEqNWm6Lo46CJKU48khal/7LKucGx7FxHIeiyNfdy1kl2tsT7xAdpqNHUUq/v/XrByYhgUJCCCGEEEIIIYQQ69tWY+lV/Wv9zk3TNOl2xw8QWpVSlHv2MCz11WoBvV60rPuvLEv6/WGIj02tFpDnOVEUMxhMnlQOVfFO1zU6na0rIA/Dh+I4YWqqRlmW1GrBROFDk9J/+Uvw3CoZfljYhOr/RQHFfCdnd+XPrf38RszvfIeiKGifeSb6Ax6A67mr7uXUNG3DY/1B4JPnhYyjCyGEEEIIIYQQQtxDbbPi5vodhZ7njoqNw/esFyA0jjD0100rH450R1GCbVv4vgdUZ5mkWGgYOp7n3CVp5VB9tjhO6fej+RAfe9NCfA5WTk+jddoUuo62qGNz9H9NQZQwOPNxS99YFHhvfQv2V/4R5pPOS8Ng8Oizab317Rius2SfaBwnFEVJGHpEUTzxWP9wHH1uTtLRhRBCCCGEEEIIIe6pttXOTVi7c9P3XXRdGxWyxg0QWs+wi7LbHX88PElSms02/X6M6zpMTdVwHHvd9ymlCEOfbrdPURz6ns31OI6NUop+PwKqAJ9Wq0un08M0DXbsqON5zmQdr6tQSqFe/CLKYXEyDKuiZlFAWVJ6PsQxWBbxi1685L32P3wB+x+/RBGEFDumKXZMU4Y1zCu+jvO3H122T7TRqFGvh4CaeIdolY7u0e8n5LmkowshhBBCCCGEEELcU22r4uZaY+mWZeJ5Dp1Ob/S7cQOE1mIYBp7n0G731r94BVWxsLOkWOi6qxcLg8AbpZtvNV3Xl31nQ1k/Iv3Qh8kf+ps4D3kIO177GsI7bhuFD21EEHgkL7iAwRlnwmBQFTQdB1BgmJS+R7FnD50PfYT8Pictea/z8b+jsB1YXKRWitLzcT796apAChRFQa8X0W53MQwdTdOo1QJM05zgnIvH0YUQQgghhBBCCCHEPdW2ChTSdY0dO3zuuOPACr9v0GxWYTj1esiBA3OTBwgdRNMU9XqNbre34d2ZB9N1Ddd1sCyTJEmJomTUoem6NpZlbWg/5KSGqeO9XrS8kJqm1P7g9zF+dNXCbsyiBMeGL3+Z7CFnTLxPtAr1cWg221AUmN/9DtbXvgqDjPTRZ1MccQT4HvmJ91nYw7nI1IMfSNGYWvE1rTnH3N5vQRCMflevhyRJQhyn86P2VUE5jmPiePWipW2bBIHP3FxvW3dtSqCQEEIIIYQQQgghxPq21c5N5qN9lFKj/ZvDEeRut89gkKHrOkqxsQChg4RhQBwnm1bYBMjzgm63j6YpHMeh0QjnOzWzheLfXcD3PQaDbMUOUfsfv4zxox9VhcTFHY9JQnH++SQ/vGqifaILoT7d4S8YPPwRDB7+iLHPWxx2ODSb4LpLX0hTyiAAzxv9ynUdyrIcFTGHnbCGYeC6Np7nEsfVbtTFtXtNq74XGUcXQgghhBBCCCGE+M9h242lw9LmvXo9YDDIiKJhgFAxX9TUDylAyPddiqIY3XezFUVJvx8xN9cmz3PC0CPPC/Qq/WhL2baFYRir7hC1P/0pyAbLuyQNA+3AAbKrr6HZbNPr9PG+9x12vPY11P/sT7C/9s/VuPlBFkJ98mWvjSt+/h+iJfFo/ByAskTr94if/d9G4+q6ruO6Nt3uCqP2WbZkL+fUVI0g8Ebfue8Px9G3fiWAEEIIIYQQQgghhNh626pz8+AJed930TSNZrM1er0sS5IkYXq6sWzse1y2bWFZ5l2SVl6WJaZpjhK9fd+jLEuiaLKE9XHp+rCLcvXPpjrtpbstRy8oSl1H9bowGOA89zloP/g+JAmGUgSXfg3v2PfR/tznycMaMOyiZOJQn4Ml5z0d/ac/wf7KVyBfSEtPz34M8fkXjK4LQ59eL6IoVu+8HO7l7PdjHMfihz/8Pu95z7t55jOfyWMfew627a76XiGEEEIIIYQQQghxz7Gtdm5qmmJ6OmDfvllMU6dWC5iZaY2Kl0qV86noCk2rdls6jkWaDkbFw/Xouk69HtBqdca6/lBV+zeNhZFtGO2I1DRFvx+TJJsXbNNohMRxsubeSe+Nr8f5+N8tHUmHqmtSacxd9SPsT30K73+8Cwx9ocOzLFFZBs98Jsl73kuaDggCj2azvWaxcRLaz2/E/Na3UGXB4KyHkp/8G6Pne56LrmsrBiStJY77fOlLX+RTn/oUg8GA9773g5x00smbct6tIjs3hRBCCCGEEEIIIda3rYqbSil27gyYnW1Sr9doNtujfZhlWa4YIKSUwnFsXNceja9n2crj0dX+zpB+PyJJtn402TQNgsCn1Vq5+FcltdsYhkEUJcRxsqx7dRLDTtf1in/arbfSeMLjIIqqAqdSo3Hw+PwX0H/NX9D4zTPR9u9fuQBaQnTDjXhTdbIsp9+PNnVv6UoMoyp2z821J/6OwjBA0xR33tnku9/9Fg960Ok0Go0NnePDH/4Amqbxghe8eNlrg8GAd7zjTVx33U+xbZvXv/6tHHvsvTb0HCluCiGEEEIIIYQQQqxvm+3cLJmZmeHXv751SYL5QmFzeYDQcMR7drbFYJARhj61WoBpLp+4D0OPNB3cJYVNpRRB4NPt9lbtasyyjHa7R6vVQdc1pqZq8wXKyUOSLMvEssxV92wuVhx9NK3PfI78uOMBBZoOuk58wQvpv+rVAGgzM1Vq08E0DcoCvdclSVLiOMH3PRqNENu2Jj73uMLQp9vtT1zYtG0TyzLodGJs2+bssx+3ocJmt9vl7W9/E5/97CdXvebzn/8sjuPyqU99gYsu+jPe+tY3TPwcIYQQQgghhBBCCDG+bbVzM4oiXvayCzjxxBN55StfAywUNkFbN0CoGsdOsG1rWdq36zoopdHrTTbSvFG1mj92EvvihHXXdWg0ahON2muaIgg82u3u2MW//NRTaX39G2i/+Dlap0N2wokQBAuvH3c8+o03gHVQwTLLwHUxd++i2e1TlpAkKaZp4LrOfFJ5PN+FOtZR1rVW8vtahunovd6hp6N/61t7OeqoY3jWs56z6jXf+963ueCClwDwwAeeRrM5xx133MFhhx12SM8WQgghhBBCCCGEECvbVp2b73jHm+h0Olx44cuBqrBZ5d4s79hcS5KkNJtt+v0Y13WYmqrhujbtdnf9N28CzxuG7EyWxF4UJb3eMGG9oF4PqdV8DGPthPUw9ImiZNVx/FUpRXHvE8ge+KAlhU2A6I/+uOrcPCi9HICLLqITLS1eDgYZ7XaXdruLYRhMTdXxvI11oS5mmgaWZdDrrd+RerAgCMjzgig69E7dc875Hf7gD54/v/N1ZQcO7Gd6eufo5+npnezff+chP1sIIYQQQgghhBBCrGzbdG5mWca+fXfy/ve/n6mpKdJ0gKYtjKJPUtwcStMBWZbTaITkeUGjUSOKqq7CrWKaBrZt02y2N3yP4ah9FFVp32HoUxQrJ6xvtJC6nvScJ9L/xS/w/uY9VVGzKKEsKJ/1bJILX0q2ymh/nud0Or35wCd7URdqQp5PVnxdPNo/aReobZuYpsHc3GSduldc8a+8731/veR3xxxzL9773kvWfW9Zlgf9Oy3X7TYWQgghhBBCCCGEEBu3bYqbhmHwgQ98jOlpn1arM+ra3Ghhc6hW8+n3q4Kmrut4noPnOcRxQhQdWoDPwTRNEYY+7XZv0+4bxylxnI4S1j3PJYri0Si449jMzW28kLrms1/6MpJn/zfMb+5F5Tnaox+Nde/j6bfWD5oqioJeL6Lfrwq0tVpAnudEUTx2+JDvu6RpOnFYkaapDY+jP+Yxj+Mxj3ncRO8Z2rVrNwcOHODII48CYGZmhp07d23oXkIIIYQQQgghhBBifYdc3Lz88sv4xCc+SpZlPOMZz+a8835vyevf+tZePvrRD1GWJUcccQSvec3rqdVqq96vqgmqVQOEJhEEHnlejDo1F3cVel41rp4kKVEUrxr6M4kwDObT2jc/OTxNB6TpYMluS6WY72rcvALtwcodO0jPfRq6rlGvhzSb6xc2l7y/LImiqpC8eBdqFCUkSbrq+yxr2Hk5eeE2CPxNG0efxEMf+jAuu+yrnHrqA/nxj6/BsmzZtymEEEIIIYQQQgixhQ5pZnb//n18+MOXcMklH+Fv//bT/NM/fYlf/vIXo9d7vS7vetc7+Ku/eg8f//hnuPe9T+RjH/vQOncdP0BoLY5jYRgGnc7yseSiqAJ8hqPjjUaNIPDW3Ke4Ht93KcuCKNq6kXdY2G2Z5zlFURAE/nyh89B2W64nDAN6vYiiWD/gaDXDXai9XoRtW0xN1XFdm4OPXo2jeyv+3a3Hti1Ms0pHvyt8+ctf4CMf+SAA5533TAaDlOc85/d473v/ite97k13yRmEEEIIIYQQQggh/qs6pM7NK6/8Aaeddjq1Wh2As89+LHv3fp3jjjseqPZo/umfXsyuXbsBuPe9T+Dyyy9b855KKVzXJcuKDXdTGoaO57nrdhkOA3yq0WmbRiNkMMjo9+OJ9kNalollmRN3Na7G+Pd/x/3QB9Gvv57iiCOIX3AB6W89gWEV0HFslFI0m53RbsupqckS1ifh+y55nq/ZaTmJwSBjMOii6/r82evz4/dVB20QeMTx5AFJhzKOPq4XvODFS35+6lOfPvqzbdu89rVv3JLnCiGEEEIIIYQQQojlDqlzc6V06H379o1+rtcbPOpRZwOQJDGf/OTHeeQjH73mPTudmLKEqak6Yeij65MdUSlFGAZ0u/2xuwyHAT6zsy0Gg4xaLaBWCzDN9Wu/mqaNugw3Yzzc/sTHqf3hczH/7d9QMzPoV19N8McX4b25KpoN94YOuxqHuy0XJ6yH4foJ6+Oq0sotut3J08rXk+f5qINWqaqDtlYL0HWdfn/yzstqHD2/y8fRhRBCCCGEEEIIIcTd45CKm0VRLBmHrkKAlo9Hd7tdXvnKP+aEE07knHN+Z817pmlOqxXTavVRSs0XOYOxi3Vh6JMkybJU8XHFccLcXIskSQkCj3o9xLLMVa8fBhZN2mW4EjUzg//2t1IqjdJ1wTDAcSg1Heczn8b4ybXUav6KhduDC7Rh6FOvj1egXfU8S9LKt26v57CDttXqYJoGSqmxi8tDjnPXjqMLIYQQQgghhBBCiLvfIRU3d+/ew8zMgdHPs7PL06EPHDjAS196Afe+94m8+tWvG/veg0FBqxUzN9cFylFX31oFL89zATbU9XewJEmZm2sTRTGe59Bo1LBta8k11bj2QmDRobIuu7QqIuoHFXI1DQYD/MsuZTDI1i3cVgXaNlGU4PvuimcfRxB4JMnkaeUb5fse/X48Ki6Pe/a7YhxdCCGEEEIIIYQQQmw/h1TcPP30M7jqqh8yNzdHHMfs3XsFZ5750NHreZ5z8cV/wtlnP44/+qM/21DoTZaVtNsJs7NdiqKkVgvmuymXFjkty8S2zQ2F0KwlTQc0mx16vf58CE4Nx7FHeza73UN/nvG971F76pMJ/vzVaLOzqLk5WCFxXe92JhoPX372+vy+zoMuHAwwv7kX+/Ofw7jmaihLbNtC1zX6/egQP914hntEo6gqTFfhQ0vPXoUPLf83FAQ+g4GMowshhBBCCCGEEEL8V3NIgUK7du3mhS+8kIsuejGDQcaTn/wUTjnlfrziFRdxwQUv4c477+T6668jz3P27r0CgJNP/o2JOjiH8ryk00no9RI8zyIMA/K8IIoifvKTn2KaOscff8KWjU8PQ3CqsCIH0zTnOzYVsPFnmt/+FuGLLqDMc0rPQ0URKk1QsynFjmkwDJQCZdv0zjjzkM4+3NfpeQ5xnBBFCfqPriK84HxUrw9lNeqen3Ai+pe+SCvzN/y5JqFpGp7n0GotD2RaHj5UI0lSoiihKIrROPrsbPcuOasQQgghhBBCCCGE2D5UuUY1cP/+zUn/3gqaBq5rMjOzn/POO4/nPe/5PPOZz6IqNm6tRiMkSVJ0XceyTOI4JYriyQurZUn9CY9Hu+VmsG0AtNlZSFMoS0rHpazV0AYpxdFHM3fp5WCuvv9zXMOEdbvbQd3//pT9PljW6EwqyyhOOpm5r17K8jbPzVevV9/nOOP9mqZwHIc77riNt7/9HTztaedy1lkPX6nR9R5t167w7j6CEEIIIYQQQgghxLZ3SGPpd6eigGazz0tf+nJOOOFEXvjCC5iaauC6NofSSbmeIPDIspwoSuaTvjsoBVNTNXzfQ9PG/0rVgQPot9yyUFgEiqkpSsepXk9itDyjeOSjaH7mc5tS2ISFhPXoQx+BNEXZC+PeStPANFE/vxHj6h9tyvPW4ro2ZVmOvbe0KEr6/Qjbdjn88MO4+OKLOffcp3DNNVt/ViGEEEIIIYQQQgixvRzSWPrdLYr67Nq1i1e96i9ot2Mcx8LzHFzXIYpi4jhhM6fUbdvCMAyazfbod8NCYb8f47o2jUZImg6IooQ8XydBXa0w0q7+//buPEiq+u73+Lv3Pqe7p2cBFPXRxIjxKi7hchWT6A0gqCiPQdGggmKAkmAKo+KCEQ2okXgt6qqPuLDIoyaXUoLIooRHgXt98hi3CJYiypPok82RZXpmejmnu0/3uX8MMzDODDM9M84in1eVVZw+5/Tvyzj8863v4sEtL8eNRPD4A7jvvE1tyPxK2u1927fh5vPg9eLB05TgdAFcF98nn+AM++/dfm7T+T4fhhGmtrb0CuF4vIz58+dzzTXTWbt2Tad+PtXV1dx77zwSiRqOPfY47r77PkzT/NIznzNlyo84+uhjAKisrGTRon8p+SwREREREREREel+/Tq5WVYWZ+HCRQC4LlhWHsvKEQ4H9ic5jf2zJa0uJzl9Pi+RiNHqXMiG810yGRvLsgmHQ8TjURzHIZOxcZzWk5zugAEUTjgB765dsL9as5HHcfBcfTX1ZhS3jfe7qnjUUU1t5y4unv0t/R6PB/x+fIMHfyXnNorFTNJpi2KxWNJ7jdvRUymbeLyCKVOu69T5ixYtZMKEiZx33vmsWLGUFSuWMmvW7GbP7Ny5gzFjzue2237eqTNEREREREREROSr02/b0tvmwbYdamrSpFI2wWCAyspyIhEDr7dz8yM9HojFoqTTFoXCoRNxDUnWLDU1deRyeWKxCPF4lECt/aMgAAAcDElEQVSg9Txy+p754A/gsayGl4tFPJkMnooKrJ/MajMx2h2yP5oEfj8UCgeqNl0XN5fDDQQJXDC2aTt8dzPNMMVikWw2V/K7DdvRHWy784M2Hcdh27b3+MEPRgNw4YUXs2XLay2e++ijHXz66Z+YOvUqZs+eyZ/+9J+dPlNERERERERERLrX1zC5eUA265BIZKivt/D7/VRUxIlGTXy+0pKc0WgEx3FKTsTZdo5Eoh7bzhKJGJSXxwgGm8/NdP7HmdT/5v+QP/tsPLaNp1CgMOFS8r/bRKZywKEPcBzCy5ZS/t0RVJ5wPOUj/yehF56no2WqhSEnkp7784bEZi6Ha9vgFCAUon7JUuqsHMlkmkDAT2VlHNMMNyVBu8Lv9xEOh0gmMyW/Gw43jAZIJu0uxVBbW0skEsHvb0g6V1UNYM+eL1o8FwwGGTt2HMuXP8eVV05m7txbyOfzXTpbRERERERERES6R7/dlt4ZgYCXSCSE3+8jl8uTybRfiRkOBwmHQ52aC9nyfD+m2VBBmsnYLZOlrksgGCAWi5BI1B96jqTrEp01k+Crr4JbbKjAdBzwerGnXENm3j0disnr9VL++d/IPrUEz1/+gnPa6WR/NAl30KAWzxlGmFAoQDabw7KyJbeTNyovLyOTscjlSksSer0eKiripFJ2SVWbmze/yqOPLmr22THH/BN///vfWL16A9BQyTl27Lls3vwfh/yua6+9krvums+QISeWFHuptC1dRERERERERKR9/XrmZqny+SK1tRaBgBfTDFJRESebzWNZVqvt3z6fD9M0uiWx2XC+Q11dEr/fj2mGMU0D2z6w+Mjj9RKNRkgm0+0uyPFve4/g5tfA5wWPr+HDQACKRcLPPIN93TSKxxzTbkyxmIkV+iZWO8nQhsVJGTIZT9PipHy+YaZou4uTDhKJGDhOoeTEZkOs0U61o48adR6jRp3X7DPHcRg3bjSFQgGfz8e+fXupqhrY4t1Vq1YyZswFxOPl+z9xm6o9RURERERERESkd32t29Lbks8XqauzSSRSgEt5eRllZc3nYno8HsrKIqRSmU5XKLbFcRzq61PU16ea2uVNM0wsFiGbzZHPt5+8C768AXK5poVATbxewCWw+dV2v8Mwwk0zQjuqcXFSIlGH4ziUlUVb/OzaEgj4CQaDpNOda0f3+Xxdbkdv5Pf7Of30M3jttX8DYOPGDYwY8d0Wz23b9kfWr38JgPfee5dCochxx32jW2IQEREREREREZGuOSyTm40cx6W+PktNTYpi0aWsLEo8HsN1Czz11BPs3buvUxWGHVUoFEgm09TWJvH7AwQCfjweOrb4yCm0PVvTdfG0s4jI7/dhGCFSqXQnIj+wOCmRqCObzRGJmK3OFG3k8UA0apJKtV+V+mU+X8N29HTapjvzzLfccgdr165m8uTL2b59GzNm/ASANWtWsXTpEwDceOMc3n77TaZMuYLHHnuYX/zifrzew/qfjYiIiIiIiIhIn3FYzdxsj9cLphnkgQfuZ8uWLbzwwir8/uBXfq7P5yMej1JfnyIYDBIOB8nl8liW3eZM0MDr/4/YjGkNFwdXb7ouFF3q1m+gcOK32zyzs3MvDyUYDGAYYbxeD5aVxbYPVIRGoyYAqVTpVZsNCWeXurruqdrsDzRzU0RERERERESkfRoeeJBiEdavf4VVq1axZMlSjjhiEMViEcuy9yfqur4p/Ms8Hpra3x2ngONYWJZNOBwiHm+Ya2lZdouZoPnvfR/nlKH4t29ryMr6fFBoqObMjT3/kInNSMTEcZxur0rN5fLkcvn9VaFhTDOMZWUpFAoEAn5qa+tL/k7DCOHz+faPEBARERERERERETlAlZtf8vvfv046nWbs2AvweMAwAhhGENcF27axLJvuTHK2V9EYDocwjDCFQgHLspvP48xkMBf+kvALz4Pj4IbD2FOvw5r9s4blQq0IBgNEIga1tfVtdrV3F5+vccN6kFwuRzptUSx2/FCfz0N5eenb0b8OVLkpIiIiIiIiItI+JTc7wONxCYeDmGZDi3pjJWdXk4OhUBDDCHeoorHxWdd1sSy7edVlLocnmcSNx+EQm7w9Hg8VFWXU16da3Q7/VYjFIhSLRVyXg9rtsx3asH44tqM3UnJTRERERERERKR9Sm6WxCUcDmCaITweD7adxbKsTiU5vV4v5eUx6upSHUr0NWqca+nxeLAsm2w21+F3y8qiOI5DJtMzycJgMIBpGk3JW4/HQzgcJBxuoxL1IIbRULGaSKS7dYlQf6HkpoiIiIiIiIhI+zRzsyQebNvBth1CIT+mGcQwQvuTnHZJLddlZREyGbukxCYcmGsZCPj3z7U0DpoJ2rZwuCEh21OJTa/XQzRqUl9/YFZmQ9VpFsvKEgoFiUTMVitRfT4PpmmQTHbvdnQREREREREREfl6UeVmFwWDPkwziN/vI5vNYVkWhcKhk5yRiIHX6yWZTHf5/MblPYGAv2lD+Zf/l/p8XuLxGLW1SYo9lC3saJXowRvW6+tT1NcnOeqoIykWXerrD7929Eaq3BQRERERERERaZ+3twPo73K5ArW1FnV1GXw+H+XlcWKxCD5f6z/aYDBAMBhoc4FQqRynQDKZpq4uic/npaKiDNM08HoPLD2KxSL7l/n0TGIzFAri9XasSjSXy1NXlySZzPD66/+Xiy66gHvuuZsPPtjZA5GKiIiIiIiIiEh/puRmN8nni01JzobFPXFisSh+v6/pmcZW7WQy3aK6sqsKhSKpVIba2no8HigvLyMaNYlGTQqFYkmzObvC6/USiRglV6U6jsP3vncODz/8MLt2/SdXXTWRP/zhP0r6jk2bNjJ58uVMmjSB3/72+Rb3d+36mGnTpjBp0qUsXHgvjnN4bWAXEREREREREfm6UXKzm+XzRerqbBKJFOBSXl5GWVmUbNbmiScWk0jUfaWbyotFl3TaIpFoWOITCjVsePf5fId6rdvEYiaWZVMolF4lWlYW4/vfP5fFi5fx9NO/4dRTT+vwu3v27GbJksUsXryUp5/+DWvXvsinn/652TMLFszjpptuY+XK1biuy7p1a0qOUURERERERERE+g4lN78ijuNSX5+lpiZFoVDkoYceZMuWLXg87b/bXQKBAMlkCsdxKCuLUlYWxe//6nZIhcMhACzr0MuNWmMYIXw+L6lUQyv7kCEnEolEO/z+O++8xbBhwykri2MYBiNHjmbr1tea7ldXf042m2Xo0FMBGDduPFu2vFpynCIiIiIiIiIi0nf0m23pS5Y8jtfrZdq061vcy+fzLFy4gJ07PyIUCnHPPfdz3HHf6PkgW1EouKxa9SKbNm3i2Wefo6KinEKhiGVZZLP59r+gk6JRk1wuRy7nAE7ThvJYzKRYbLmhvKt8Pi+mGaa2tvQlVA3vdm07+t69e6iqGtB0XVU1gB07Pjzk/d27d3fuMBERERERERER6RP6fOVmKpXigQcWsHLlc20+88ILKwmHDX7961XMnn0L99//i54LsAO8Xh933TWff/qnE6ipSZHL5YlGI1RUlBEOB4Hunb8ZCgXx+byk01azz7PZHIlEPZZlY5physvLmtrWuyoajZDJdGZpkUs0GiGXc8hmOz8Ds1gs4jmoLNZ13WZLldq7LyIiIiIiIiIi/U+fr9x8/fWtHHPMsUyaNLnNZ95449+ZPn0mAGecMYza2gTV1dUceeSRPRXmIY0de0HTn4tFSKfzZDJ5DCOAaRoYhoFt21iWDXQt4da40Keuru0KylwuTy6XJxDwY5phTDOMZdnYdueWDhlGGNd1O/W+YYTx+bzU1ZW2gOjLBg06gu3b32u6rqnZx4ABA5vd37dvb5v3RURERERERESk/+nzlZsXXngxU6ZMxettO9TWWo737PmiJ8LrNNeFTCZPTU0Ky8phGGEqK8sxjFCX5nLGYhEymY4t9MnnHerqUiSTaQKBAJWV8ZLP9/l8GEaIVKr05GRjO3oqZdPV5fHDh5/Ju+++TSKRwLZttm7dzFlnnd10/8gjBxMMBnn//W0AbNz4MiNGfLdrh4qIiIiIiIiISK/qM5Wbmze/yqOPLmr22bHHfoOHH17c7ruu6zZrOQYXj6fP520BcF0PlpXHsnKEwwFMM7y/kjOLZVklJf1Ms7GCsrSFPo5TIJlM4/N5MYwwFRXx/edncdsJIBaLkE5bFIulZicb29HzZLNd3x4/cOAgZsyYxezZ15PPO4wffwknnzyUOXNmM336TE466WTuvvs+HnzwPtLpNCeeeBITJ07q8rkiIiIiIiIiItJ7+kxyc9So8xg16rxOvTtw4CD27t3L0UcfA8C+ff2x5diDbTvYtkMo5Mc0gxhGaH+S0W43eej3+wiHQyQS9Z2OoFAokkpl8Hq9GEaIiooystkclpVtdZamaRoUCgWy2c60oxv729Gt9h/uoLFjL2g2AgDgoYceafrzkCEnsmTJM912noiIiIiIiIiI9K7+Ud7YjrPP/h4bN24AYPv2bQSDoT4zb7MzslmHRCJDfb2F3++noiJONGri87XeL+7xNFRQplKZdistO6JYLJJOWyQS9biuS3l5bP/5B35d/H4/oVCQVCpT8vc3blbvjnZ0ERERERERERE5fPXb5OaaNatYuvQJAC677Efk8zkmT76Chx/+X8ybt6CXo+seuVyB2lqLuroMPp+P8vI4sVikWZIRIBIxyeUccrl8t57vui6ZjE0iUUehUCQejxGLRfD7fcRiJul0Z5KpLrFY97Wji4iIiIiIiIjI4cvjHiI7tWdP2xu3pecFAl5MM0gwGCCXy5PJWLzxxhuccsrJmGa0R2IIh0OYZhiAZDJNPu+U9L5hhDGMEDU1aVVtHsLAgbHeDkFEREREREREpM/rt5Wbh6N8vkhdnU0ikcJ1XT777M/ccstN7Nq1q8diKBQKuK5LOm0RiZiUl8cIBgMderexHT2ZVDu6iIiIiIiIiIh0XZ9ZKNSTqquruffeeSQSNRx77HHcffd9mKb5pWc+Z8qUHzUtKaqsrGTRon/pjXBbcByX6uoabr75Zi666GJGjRqJ4xSwLItcrrRKylJ4PB6i0QipVEPFZjabIxgMYBhhIhGDTMY+xHKhhnb0bDZPLqd2dBERERERERER6brDMrm5aNFCJkyYyHnnnc+KFUtZsWIps2bNbvbMzp07GDPmfG677ee9FOWh/f3vf6OycgA//enN1NSkMM0gsViUQqGIZVlks907fxMgEjHI5XLNWtFzuTy5XB6/349phjFNA8uyse1ss3cNw8Dr9ZJKdd92dBERERERERERObwddjM3Hcdh3LjRvPzya/j9fr74opqf/vR6XnjhpWbPPf74o7z//ntYlk1ZWRk33jiHb33rhF6KumO8XjCMAIYRolgsHpRkbH3LeimCwQCRiEEiUX/I53w+H6YZJhDwY9tZLCuLz+chHi+jvt5S1WYHaeamiIiIiIiIiEj7DruZm7W1tUQiEfz+hqLVqqoB7NnzRYvngsEgY8eOY/ny57jyysnMnXsL+Xz3V0N2p2IR0uk8+/alsO08pmlQUVGOYYSAzg+5bGhHN0km0+0+WygUSCbT1NYm8Xq9TJ9+Hbfffhtvvvm2EpsiIiIiIiIiItKtvtbJzc2bX2XChHHN/ps//+d4PM0rGb3elj+GadOuZ8KEiXi9Xs4++/sYhslnn33aU6F3ietCJpOnpiaFZeUwjDCVlQ1JTk8nijijURPbzuI4HU9OFotFUqkMd911Fz6fj2uvncKdd95a8tmbNm1k8uTLmTRpAr/97fMt7i9f/hSXXXYxU6dexdSpV7X6zKG88sp6rrjiEjKZDJZlcfXVE3nllfUlxykiIiIiIiIiIj3vaz1zc9So8xg16rxmnzW2pRcKBXw+H/v27aWqamCLd1etWsmYMRcQj5fv/8RtqvbsL1zXg2Xlsawc4XAA0wxjGMb+dnGrQxvLQ6EgPp+3Q1WbX+b3exk2bBgnnPDf2LnzEz799M8lvb9nz26WLFnMsmXPEggEmTnzxwwbNpxvfvP4pmd27vyI+fN/ydChp5UcH8CFF17MW2/9gcWLHyGfz3Haad/hwgsv7tR3iYiIiIiIiIhIz/paV262xu/3c/rpZ/Daa/8GwMaNGxgx4rstntu27Y+sX98wh/O9996lUChy3HHf6MlQu5EH23aoqUmTStkEgwEqK8uJRAy83rZLOb1eD5GIQTKZ6cSZLtFotGk7+vHHf4vRo8eU9A3vvPMWw4YNp6wsjmEYjBw5mq1bX2v2zMcf7+CZZ57m2msnsWjRr8hms218W9tuvXUub775Bh9++AE/+9mckt8XEREREREREZHecdglNwFuueUO1q5dzeTJl7N9+zZmzPgJAGvWrGLp0icAuPHGObz99ptMmXIFjz32ML/4xf2ttq/3N9msQyKRob7ewu/3U1ERJxo18flaJjmj0QiWlaVQKH1WpmmaeDweUim707Hu3buHqqoBTddVVQPYvXt303Umk2HIkG9zww03smzZc6RSKVasWFryOTU1NeRyWVKpJHv37ul0vCIiIiIiIiIi0rMOu23p0lwg4CUSCeH3+8jl8mQyFoVCEdctUl4ep66u9N8Bv9/bLdvR//Vfl5HL5ZqSz2vXvsjHH3/Erbfe2erzn3yykwceWMDTT/+mw2c4jsPMmT/mkksupVgssn79Gh5/fHmvjyDQtnQRERERERERkfb1/1JE6ZJ8vkhtrUVdXQaPx0NFRZwdOz5g9OiR7N69txPf2LwdvSsGDTqCffsOxFBTs48BAw7MR62urm4aHQANi5RKTUo++eRjVFZWMn78D7nkkkuJx8t56qnHuhS3iIiIiIiIiIj0jP61IacP2rRpI888swzHcbj88iu57LIrmt3ftetjFi68j3Q6zRlnfIc5c+b2elVga/L5InV1Nra9l3nz7mLixIkMHFiFZdnk806Hv6d5O3onVrMfZPjwM1m+/CkSiQSGYbB162Zuu+1A1WYoFOLxxx9h2LDhDB58FKtXP8+5544s6Ywbbrix2fVDDz3SpZhFRERERERERKTnqHKzCxq3eS9evJSnn/4Na9e+2GIj+IIF87jppttYuXI1ruuybt2aXoq2Y37961/j9weYNu0nFIsuZWVR4vEYwWD7CVm/34dhhEilbFy3a4lNgIEDBzFjxixmz76eqVOvYsyY8zn55KHMmTObnTt3UFFRwa233sntt9/ElVdehuu6TJo0ucvnioiIiIiIiIhI/6CZm13wyivr2bbtj8ydezcAK1YsxXVdrrtuBgDV1Z8ze/ZMnn++oXV6+/b3WLbsSR555Ilei7k9u3d/gdfrbWr/9nrBNIOEw0EKhSKWZZHN5lt506W8PI7jFEgmS99YLs1p5qaIiIiIiIiISPv6Xn90P9LaNu8dOz485P2Dt333RYMGHdHsuliEVCpHJpPDMAJEoxFMs4hl2dh2lsbW8+5sRxcREREREREREekIJTe7oFgs4vEcSOS5rovX6+nw/f6kWIR0Ok8mk8cwApimgWEY2HbDTE7DCFFfb3VLO7qIiIiIiIiIiEhHaOZmF7S3zbu9+/2R60Imk6emJoVl5TCMMPF4jGw21+Xt6CIiIiIiIiIiIqVQcrMLhg8/k3fffZtEIoFt22zdupmzzjq76f6RRw4mGAzy/vvbANi48WVGjPhub4XbrVzXg2Xl2bcvRSaT1ZxNERERERERERHpcVoo1EWbNm3k2WeXk887jB9/CVdffS1z5sxm+vSZnHTSyeza9QkPPngf6XSaE088iTvvvIdgMNjbYUsfp4VCIiIiIiIiIiLtU3JTpA9SclNEREREREREpH1qSxcREREREREREZF+SdvS+6BNmzbyzDPLcByHyy+/kssuu6LZ/eXLn2LDhrXEYmUAjB//wxbPiIiIiIiIiIiIfN0pudnH7NmzmyVLFrNs2bMEAkFmzvwxw4YN55vfPL7pmZ07P2L+/F8ydOhpvRhp56XTKWbO/DEPPvi/GTz4qGb3du36mIULG2aUnnHGd5gzZy5+v35NRURERERERESkJbWl9zHvvPMWw4YNp6wsjmEYjBw5mq1bX2v2zMcf7+CZZ57m2msnsWjRr8hm+8+m8g8//IBZs6bz17/+pdX7CxbM46abbmPlytW4rsu6dWt6OEIREREREREREekvlNzsY/bu3UNV1YCm66qqAezevbvpOpPJMGTIt7nhhhtZtuw5UqkUK1Ys7Y1QO2Xduhe5+ebbGTBgYIt71dWfk81mGTr0VADGjRvPli2v9nSIIiIiIiIiIiLSTyi52ccUi0U8Hk/Tteu6eL0Hrk3T5KGHHuG4476B3+9n0qSr+cMfft8boXbKHXfM4/TTv9PqvfYSuyIiIiIiIiIiIgdTcrOPGTToCPbt29t0XVOzr1mVY3V1NevXv9R07bp8bWZStpfYFREREREREREROZiSm33M8OFn8u67b5NIJLBtm61bN3PWWWc33Q+FQjz++CP84x9/x3VdVq9+nnPPHdmLEXef9hK7IiIiIiIiIiIiB1Nys48ZOHAQM2bMYvbs65k69SrGjDmfk08eypw5s9m5cwcVFRXceuud3H77TVx55WW4rsukSZN7O+xuceSRgwkGg7z//jYANm58mREjvtvLUYmIiIiIiIiISF/lcV3Xbevmnj3JnoxFDiMTJ47n0UefZPDgo5gzZzbTp8/kpJNOZteuT3jwwftIp9OceOJJ3HnnPQSDwd4Ot8cNHBjr7RBERERERERERPo8JTdF+iAlN0VERERERERE2qe29BL96lf38eSTjzVd/+53LzN37pxejEhEREREREREROTwpORmiS699HJefnkdjuMAsHbti/zwh5f1clQdk06nmDLlCj7//B8t7u3a9THTpk1h0qRLWbjw3qa/n4iIiIiIiIiISF+l5GaJhgz5NkcddRRvvPHvfPbZp+zdu4czzxzR22G168MPP2DWrOn89a9/afX+ggXzuOmm21i5cjWu67Ju3ZoejlBERERERERERKQ0Sm52woQJV7Bhw1o2bFjLP//zBDweT2+H1K51617k5ptvZ8CAgS3uVVd/TjabZejQUwEYN248W7a82tMhioiIiIiIiIiIlETJzU4YOXI0n3zyMVu3vsZFF13S2+F0yB13zOP007/T6r29e/dQVTWg6bqqagC7d+/uqdBEREREREREREQ6xd/bAfRHgUCAkSNHU1NTQ3l5eW+H02XFYrFZ9anruni9fb8aVUREREREREREDm+HTG4OHBjrqTj6lUwmwwcfbOfuu+/udz8jn89LZWWkWdwnnXQ8tbU1TZ/9139ZDB58ZL/7u4mIiIiIiIiIyOFFbeklev311/nBD37AOeecwxlnnNHb4XSLo48+mlAoxLvvvgvASy+9xLnnntvLUYmIiIiIiIiIiBya2tJLdM455/DWW2/1dhjdYsaMGcyePZtTTz2Vhx56iLvuuotUKsUpp5zCNddc09vhiYiIiIiIiIiIHJLHdV23t4MQERERERERERERKZXa0kVERERERERERKRfUnJTRERERERERERE+iUlN0VERERERERERKRf+v+cSKDCf20swQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "fig = plt.figure(figsize=(4, 6))\n",
    "\n",
    "def plot_3D(elev=30, azim=30, X=X, y=y):\n",
    "    ax = plt.subplot(projection='3d')\n",
    "    ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='autumn')\n",
    "    ax.view_init(elev=elev, azim=azim)\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_zlabel('r')\n",
    "\n",
    "interact(plot_3D, elev=[-90, 90], azip=(-180, 180),\n",
    "         X=fixed(X), y=fixed(y));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can see that with this additional dimension, \n",
    "- the data becomes trivially linearly separable, \n",
    "    - by drawing a separating plane at, say, *r*=0.7.\n",
    "\n",
    "Here we had to choose and carefully tune our projection: \n",
    "> if we had not centered our radial basis function in the right location, we would not have seen such clean, linearly separable results.\n",
    "\n",
    "To make such a choice is a problem: we would like to somehow automatically find the best basis functions to use."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Strategy\n",
    "\n",
    "To compute a basis function centered at *every* point in the dataset, and let the SVM algorithm sift through the results.\n",
    "- This type of basis function transformation is known as a **kernel transformation** \n",
    "    - as it is based on a `similarity relationship` (or `kernel`) between each pair of points.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "\n",
    "### Problem\n",
    "Projecting $N$ points into $N$ dimensions might become very computationally intensive as $N$ grows large.\n",
    "- The [*kernel trick*](https://en.wikipedia.org/wiki/Kernel_trick), a fit on kernel-transformed data can be done implicitly\n",
    "    - without ever building the full $N$-dimensional representation of the kernel projection!\n",
    "- This kernel trick is built into the SVM, and is one of the reasons the method is so powerful."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "In Scikit-Learn, we can apply kernelized SVM simply by changing our linear kernel to an RBF (radial basis function) kernel, using the ``kernel`` model hyperparameter:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:21:01.236280Z",
     "start_time": "2019-06-19T10:21:01.230019Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVC(C=1000000.0, cache_size=200, class_weight=None, coef0=0.0,\n",
       "  decision_function_shape='ovr', degree=3, gamma='scale', kernel='rbf',\n",
       "  max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
       "  tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = SVC(kernel='rbf', C=1E6, gamma = 'scale')\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:21:08.565637Z",
     "start_time": "2019-06-19T10:21:08.379780Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "plot_svc_decision_function(clf)\n",
    "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
    "            s=300, lw=1, facecolors='none');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Using this kernelized support vector machine, we learn a suitable nonlinear decision boundary.\n",
    "\n",
    "This kernel transformation strategy is used often in machine learning to turn fast linear methods into fast nonlinear methods, especially for models in which the kernel trick can be used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Tuning the SVM: Softening Margins\n",
    "\n",
    "Our discussion thus far has centered around very clean datasets, in which a perfect decision boundary exists.\n",
    "\n",
    "But what if your data has some amount of overlap?\n",
    "\n",
    "For example, you may have data like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:21:11.571820Z",
     "start_time": "2019-06-19T10:21:11.396303Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=1)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "The SVM implementation has a bit of a fudge-factor which \"softens\" the margin: \n",
    "- it allows some of the points to creep into the margin if that allows a better fit.\n",
    "\n",
    "The hardness of the margin is controlled by a tuning parameter, most often known as $C$.\n",
    "- For very large $C$, the margin is hard, and points cannot lie in it.\n",
    "- For smaller $C$, the margin is softer, and can grow to encompass some points.\n",
    "\n",
    "The plot shown below gives a visual picture of how a changing $C$ parameter affects the final fit, via the softening of the margin:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:27:59.527639Z",
     "start_time": "2019-06-20T06:27:59.124820Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, y = make_blobs(n_samples=100, centers=2,\n",
    "                  random_state=0, cluster_std=1)\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n",
    "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n",
    "\n",
    "for axi, C in zip(ax, [50.0, 0.1]):\n",
    "    model = SVC(kernel='linear', C=C).fit(X, y)\n",
    "    axi.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='autumn')\n",
    "    plot_svc_decision_function(model, axi)\n",
    "    axi.scatter(model.support_vectors_[:, 0],\n",
    "                model.support_vectors_[:, 1],\n",
    "                s=300, lw=1, facecolors='none');\n",
    "    axi.set_title('C = {0:.1f}'.format(C), size=14)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "The optimal value of the $C$ parameter will depend on your dataset, and should be tuned using cross-validation or a similar procedure (refer back to [Hyperparameters and Model Validation](05.03-Hyperparameters-and-Model-Validation.ipynb))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Example: Face Recognition\n",
    "\n",
    "As an example of support vector machines in action, let's take a look at the facial recognition problem.\n",
    "- We will use the Labeled Faces in the Wild dataset, which consists of several thousand collated photos of various public figures.\n",
    "\n",
    "A fetcher for the dataset is built into Scikit-Learn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:29:06.864409Z",
     "start_time": "2019-06-20T06:29:06.756145Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n",
      " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n",
      "(1348, 62, 47)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import fetch_lfw_people\n",
    "faces = fetch_lfw_people(min_faces_per_person=57)\n",
    "print(faces.target_names)\n",
    "print(faces.images.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Let's plot a few of these faces to see what we're working with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:30:00.013984Z",
     "start_time": "2019-06-20T06:29:59.343543Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 15 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3, 5)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(faces.images[i], cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[],\n",
    "            xlabel=faces.target_names[faces.target[i]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Each image contains [62×47] or nearly 3,000 pixels.\n",
    "\n",
    "We could proceed by simply using each pixel value as a feature, \n",
    "- but often it is more effective to use some sort of preprocessor to extract more meaningful features; \n",
    "- here we will use a principal component analysis (see [In Depth: Principal Component Analysis](05.09-Principal-Component-Analysis.ipynb)) to extract 150 fundamental components to feed into our support vector machine classifier.\n",
    "\n",
    "We can do this most straightforwardly by packaging the preprocessor and the classifier into a single pipeline:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:32:39.861415Z",
     "start_time": "2019-06-20T06:32:39.855416Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.svm import SVC\n",
    "from sklearn.decomposition import PCA\n",
    "# Create a Randomized PCA model that takes two components\n",
    "from sklearn.pipeline import make_pipeline\n",
    "pca = PCA(n_components=150, whiten=True, \n",
    "                    random_state=42, svd_solver='randomized')\n",
    "svc = SVC(kernel='rbf', class_weight='balanced')\n",
    "model = make_pipeline(pca, svc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "For the sake of testing our classifier output, we will split the data into a training and testing set:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:32:48.841035Z",
     "start_time": "2019-06-20T06:32:48.827316Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "Xtrain, Xtest, ytrain, ytest = train_test_split(faces.data, faces.target,\n",
    "                                                 random_state=42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Finally, we can use a grid search cross-validation to explore combinations of parameters.\n",
    "Here we will adjust ``C`` (which controls the margin hardness) and ``gamma`` (which controls the size of the radial basis function kernel), and determine the best model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:35:00.875463Z",
     "start_time": "2019-06-20T06:34:43.421428Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/datalab/Applications/anaconda/lib/python3.5/site-packages/sklearn/model_selection/_split.py:2053: FutureWarning: You should specify a value for 'cv' instead of relying on the default value. The default value will change from 3 to 5 in version 0.22.\n",
      "  warnings.warn(CV_WARNING, FutureWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1min 33s, sys: 5.9 s, total: 1min 39s\n",
      "Wall time: 17.4 s\n",
      "{'svc__C': 10, 'svc__gamma': 0.001}\n"
     ]
    }
   ],
   "source": [
    "# import warnings  \n",
    "# warnings.filterwarnings(\"ignore\")  \n",
    "\n",
    "from sklearn.model_selection import GridSearchCV\n",
    "param_grid = {'svc__C': [1, 5, 10, 50],\n",
    "              'svc__gamma': [0.0001, 0.0005, 0.001, 0.005]}\n",
    "grid = GridSearchCV(model, param_grid)\n",
    "\n",
    "%time grid.fit(Xtrain, ytrain)\n",
    "print(grid.best_params_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "The optimal values fall toward the middle of our grid; if they fell at the edges, we would want to expand the grid to make sure we have found the true optimum.\n",
    "\n",
    "Now with this cross-validated model, we can predict the labels for the test data, which the model has not yet seen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:35:18.680821Z",
     "start_time": "2019-06-20T06:35:18.628387Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "model = grid.best_estimator_\n",
    "yfit = model.predict(Xtest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Let's take a look at a few of the test images along with their predicted values:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-20T06:35:24.083206Z",
     "start_time": "2019-06-20T06:35:23.176057Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 24 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(4, 6)\n",
    "for i, axi in enumerate(ax.flat):\n",
    "    axi.imshow(Xtest[i].reshape(62, 47), cmap='bone')\n",
    "    axi.set(xticks=[], yticks=[])\n",
    "    axi.set_ylabel(faces.target_names[yfit[i]].split()[-1],\n",
    "                   color='black' if yfit[i] == ytest[i] else 'red')\n",
    "fig.suptitle('Predicted Names; Incorrect Labels in Red', size=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can get a better sense of our estimator's performance using the classification report, \n",
    "- which lists recovery statistics label by label:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:24:32.230986Z",
     "start_time": "2019-06-19T10:24:32.223654Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                   precision    recall  f1-score   support\n",
      "\n",
      "     Ariel Sharon       0.65      0.73      0.69        15\n",
      "     Colin Powell       0.80      0.87      0.83        68\n",
      "  Donald Rumsfeld       0.74      0.84      0.79        31\n",
      "    George W Bush       0.92      0.83      0.88       126\n",
      "Gerhard Schroeder       0.86      0.83      0.84        23\n",
      "      Hugo Chavez       0.93      0.70      0.80        20\n",
      "Junichiro Koizumi       0.92      1.00      0.96        12\n",
      "       Tony Blair       0.85      0.95      0.90        42\n",
      "\n",
      "        micro avg       0.85      0.85      0.85       337\n",
      "        macro avg       0.83      0.84      0.84       337\n",
      "     weighted avg       0.86      0.85      0.85       337\n",
      "\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import classification_report\n",
    "print(classification_report(ytest, yfit,\n",
    "                            target_names=faces.target_names))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We might also display the confusion matrix between these classes:\n",
    "\n",
    "This helps us get a sense of which labels are likely to be confused by the estimator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-06-19T10:24:38.485559Z",
     "start_time": "2019-06-19T10:24:38.063293Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import confusion_matrix\n",
    "mat = confusion_matrix(ytest, yfit)\n",
    "sns.heatmap(mat.T, square=True, annot=True, fmt='d', cbar=False,\n",
    "            xticklabels=faces.target_names,\n",
    "            yticklabels=faces.target_names)\n",
    "plt.xlabel('true label')\n",
    "plt.ylabel('predicted label');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "For a real-world facial recognition task:\n",
    "- the photos do not come pre-cropped into nice grids, \n",
    "- the only difference in the facial classification scheme is the feature selection: \n",
    "\n",
    "- you would need to use a more sophisticated algorithm to find the faces, and extract features that are independent of the pixellation.\n",
    "- For this kind of application, one good option is to make use of [OpenCV](http://opencv.org), \n",
    "    - it includes pre-trained implementations of state-of-the-art feature extraction tools for images in general and faces in particular."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Support Vector Machine Summary\n",
    "\n",
    "We have seen here a brief intuitive introduction to the principals behind support vector machines.\n",
    "These methods are a powerful classification method for a number of reasons:\n",
    "\n",
    "- Their dependence on relatively few support vectors means that they are very compact models, and take up very little memory.\n",
    "- Once the model is trained, the prediction phase is very fast.\n",
    "- Because they are affected only by points near the margin, they work well with high-dimensional data—even data with more dimensions than samples, which is a challenging regime for other algorithms.\n",
    "- Their integration with kernel methods makes them very versatile, able to adapt to many types of data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Support Vector Machine Summary\n",
    "\n",
    "However, SVMs have several disadvantages as well:\n",
    "\n",
    "- The scaling with the number of samples $N$ is $\\mathcal{O}[N^3]$ at worst, or $\\mathcal{O}[N^2]$ for efficient implementations. \n",
    "    - For large numbers of training samples, this computational cost can be prohibitive.\n",
    "- The results are strongly dependent on a suitable choice for the softening parameter $C$. \n",
    "    - This must be carefully chosen via cross-validation, which can be expensive as datasets grow in size.\n",
    "- The results do not have a direct probabilistic interpretation. \n",
    "    - This can be estimated via an internal cross-validation (see the ``probability`` parameter of ``SVC``), but this extra estimation is costly.\n",
    "\n",
    "With those traits in mind, I generally only turn to SVMs once other simpler, faster, and less tuning-intensive methods have been shown to be insufficient for my needs.\n",
    "\n",
    "Nevertheless, if you have the CPU cycles to commit to training and cross-validating an SVM on your data, the method can lead to excellent results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<!--NAVIGATION-->\n",
    "< [In Depth: Linear Regression](09.06-Linear-Regression.ipynb) | [Contents](Index.ipynb) | [In-Depth: Decision Trees and Random Forests](09.08-Random-Forests.ipynb) >"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "celltoolbar": "Slideshow",
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
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